Math Problem Statement
Solution
The question on the screen is asking for the reflection of the function with respect to the y-axis. Let's find the equation of the reflection.
Reflection Across the Y-Axis:
For a function , the reflection across the y-axis is given by replacing with . So, if we have:
The reflected function is:
So, the equation of the reflected function across the y-axis is:
Would you like more details or have any questions?
Here are 5 related questions you might find interesting:
- How do we reflect a function over the x-axis?
- What is the general rule for reflecting a function over the line ?
- How does the graph of a linear function change when reflected over the y-axis?
- Can we reflect quadratic functions over the y-axis the same way as linear functions?
- What are some real-life applications of reflecting functions?
Tip: When reflecting functions, always remember to replace with for reflections over the y-axis and with for reflections over the x-axis.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Reflections in Coordinate Geometry
Functions
Algebra
Formulas
Reflection across the y-axis: f(-x)
Linear equation formula: f(x) = mx + c
Theorems
The reflection theorem
Suitable Grade Level
Grades 10-12
Related Recommendation
Reflections of the Function f(x) = 5x + 2 Over the X and Y Axes
Find h for Reflection of Linear Function f(x) = 5x + 2 Across Line x = h
Reflecting the Function f(x) = 3x - 5 Over the X-Axis
Reflecting Linear Functions: f(x) = 3x - 5 Over the x-axis
Reflection of Linear Function f(x) = 8 + 5x over Lines x = 4 and y = -2